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Finding the Third Proportional to 91,811,130.75 and 193,984,265.25

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Solution

The third proportional to 91,811,130.75 and 193,984,265.25 is: 409,862,016.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,811,130.75 : 193,984,265.25 = 193,984,265.25 : x
  2. Step 2: Convert to fraction form
    91,811,130.75/193,984,265.25 = 193,984,265.25/x
  3. Step 3: Cross multiply
    91,811,130.75x = 193,984,265.25 × 193,984,265.25
  4. Step 4: Simplify right side
    91,811,130.75x = 37,629,895,164,582,360
  5. Step 5: Solve for x
    x = 37,629,895,164,582,360/91,811,130.75
  6. Step 6: Final answer
    x = 409,862,016.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.